Repository: lightningnetwork/lnd
Pull request #7444 (2023-02-23 11:13:23)

routing: configurable capacity fraction for apriori probability
## Change Description
This PR adds a capacity fraction configuration parameter to make the capacity factor used in apriori probability calculations adjustable. The capacity fraction decides how large the effective fraction of a channel's capacity is in pathfinding. When a payment amount comes close to the capacity fraction, these channels are considered less.

The shape of the capacity factor function is slightly altered, it is limited in how low it can become in the case of channel saturation (and therefore how high the penalty can get in pathfinding as the weight is proportional to `1/(apriori probability * capacity factor)`).

The capacity factor can be turned off by setting a capacity fraction of `1.0` (i.e., use all the capacity). The allowed value range is `[0.75, 1.0]` with a conservative default of `0.9999` (this still has some effect).

A comparison between the current and revised capacity factor can be seen [here](https://www.desmos.com/calculator/j8phfnwwzp) for a channel of 1Msat. To see how much a saturated channel is penalized more compared to the unsaturated case, one can have a look [here](https://www.desmos.com/calculator/rm1kg0fwpl). Note, there are sliders to play around with config parameters.

Todo:
- [x] release notes


Patch:
diff --git a/cmd/lncli/cmd_mission_control.go b/cmd/lncli/cmd_mission_control.go
index 76c76f992..44e87c377 100644
--- a/cmd/lncli/cmd_mission_control.go
+++ b/cmd/lncli/cmd_mission_control.go
@@ -84,6 +84,13 @@ var setCfgCommand = cli.Command{
 				"rely on historical results, expressed as " +
 				"value in [0, 1]",
 		},
+		cli.Float64Flag{
+			Name: "aprioricapacityfraction",
+			Usage: "the fraction of channels' capacities that is " +
+				"considered liquid in pathfinding, a value " +
+				"between [0.75-1.0]. a value of 1.0 disables " +
+				"this feature.",
+		},
 		// Bimodal config.
 		cli.DurationFlag{
 			Name: "bimodaldecaytime",
@@ -156,8 +163,10 @@ func setCfg(ctx *cli.Context) error {
 					HalfLifeSeconds: uint64(
 						dCfg.PenaltyHalfLife.Seconds(),
 					),
-					HopProbability: dCfg.AprioriHopProbability, //nolint:lll
-					Weight:         dCfg.AprioriWeight,
+					HopProbability: dCfg.
+						AprioriHopProbability,
+					Weight:           dCfg.AprioriWeight,
+					CapacityFraction: dCfg.CapacityFraction,
 				}
 
 				// We make sure the correct config is set.
@@ -188,6 +197,11 @@ func setCfg(ctx *cli.Context) error {
 				aCfg.Weight = ctx.Float64("aprioriweight")
 			}
 
+			if ctx.IsSet("aprioricapacityfraction") {
+				aCfg.CapacityFraction =
+					ctx.Float64("aprioricapacityfraction")
+			}
+
 		case routing.BimodalEstimatorName:
 			haveValue = true
 
diff --git a/docs/release-notes/release-notes-0.16.0.md b/docs/release-notes/release-notes-0.16.0.md
index 73035ad6e..9e10b6875 100644
--- a/docs/release-notes/release-notes-0.16.0.md
+++ b/docs/release-notes/release-notes-0.16.0.md
@@ -433,6 +433,8 @@ in the lnwire package](https://github.com/lightningnetwork/lnd/pull/7303)
 * [A new probability model ("bimodal") is added which models channel based
   liquidities within a probability theory framework.](
   https://github.com/lightningnetwork/lnd/pull/6815)
+* [The a priori capacity factor is made configurable and its effect is 
+  limited.](https://github.com/lightningnetwork/lnd/pull/7444)
 
 ## Configuration
 * Note that [this pathfinding change](https://github.com/lightningnetwork/lnd/pull/6815)
diff --git a/lnrpc/routerrpc/config.go b/lnrpc/routerrpc/config.go
index 9877556db..adcc84e80 100644
--- a/lnrpc/routerrpc/config.go
+++ b/lnrpc/routerrpc/config.go
@@ -50,9 +50,10 @@ func DefaultConfig() *Config {
 		MaxMcHistory:    routing.DefaultMaxMcHistory,
 		McFlushInterval: routing.DefaultMcFlushInterval,
 		AprioriConfig: &AprioriConfig{
-			HopProbability:  routing.DefaultAprioriHopProbability,
-			Weight:          routing.DefaultAprioriWeight,
-			PenaltyHalfLife: routing.DefaultPenaltyHalfLife,
+			HopProbability:   routing.DefaultAprioriHopProbability,
+			Weight:           routing.DefaultAprioriWeight,
+			PenaltyHalfLife:  routing.DefaultPenaltyHalfLife,
+			CapacityFraction: routing.DefaultCapacityFraction,
 		},
 		BimodalConfig: &BimodalConfig{
 			Scale:      int64(routing.DefaultBimodalScaleMsat),
@@ -76,9 +77,10 @@ func GetRoutingConfig(cfg *Config) *RoutingConfig {
 		MaxMcHistory:             cfg.MaxMcHistory,
 		McFlushInterval:          cfg.McFlushInterval,
 		AprioriConfig: &AprioriConfig{
-			HopProbability:  cfg.AprioriConfig.HopProbability,
-			Weight:          cfg.AprioriConfig.Weight,
-			PenaltyHalfLife: cfg.AprioriConfig.PenaltyHalfLife,
+			HopProbability:   cfg.AprioriConfig.HopProbability,
+			Weight:           cfg.AprioriConfig.Weight,
+			PenaltyHalfLife:  cfg.AprioriConfig.PenaltyHalfLife,
+			CapacityFraction: cfg.AprioriConfig.CapacityFraction,
 		},
 		BimodalConfig: &BimodalConfig{
 			Scale:      cfg.BimodalConfig.Scale,
diff --git a/lnrpc/routerrpc/router.pb.go b/lnrpc/routerrpc/router.pb.go
index e81f09549..3bfabfa6c 100644
--- a/lnrpc/routerrpc/router.pb.go
+++ b/lnrpc/routerrpc/router.pb.go
@@ -1891,6 +1891,11 @@ type AprioriParameters struct {
 	// completely and relies entirely on historical results, unless none are
 	// available.
 	Weight float64 `protobuf:"fixed64,3,opt,name=weight,proto3" json:"weight,omitempty"`
+	// The fraction of a channel's capacity that we consider to have liquidity. For
+	// amounts that come close to or exceed the fraction, an additional penalty is
+	// applied. A value of 1.0 disables the capacity factor. Allowed values are in
+	// [0.75, 1.0].
+	CapacityFraction float64 `protobuf:"fixed64,4,opt,name=capacity_fraction,json=capacityFraction,proto3" json:"capacity_fraction,omitempty"`
 }
 
 func (x *AprioriParameters) Reset() {
@@ -1946,6 +1951,13 @@ func (x *AprioriParameters) GetWeight() float64 {
 	return 0
 }
 
+func (x *AprioriParameters) GetCapacityFraction() float64 {
+	if x != nil {
+		return x.CapacityFraction
+	}
+	return 0
+}
+
 type QueryProbabilityRequest struct {
 	state         protoimpl.MessageState
 	sizeCache     protoimpl.SizeCache
@@ -3479,7 +3491,7 @@ var file_routerrpc_router_proto_rawDesc = []byte{
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+	0x72, 0x6f, 0x74, 0x6f, 0x33,
 }
 
 var (
diff --git a/lnrpc/routerrpc/router.proto b/lnrpc/routerrpc/router.proto
index 4b8ae441f..8f30d8edd 100644
--- a/lnrpc/routerrpc/router.proto
+++ b/lnrpc/routerrpc/router.proto
@@ -580,6 +580,14 @@ message AprioriParameters {
     available.
     */
     double weight = 3;
+
+    /*
+    The fraction of a channel's capacity that we consider to have liquidity. For
+    amounts that come close to or exceed the fraction, an additional penalty is
+    applied. A value of 1.0 disables the capacity factor. Allowed values are in
+    [0.75, 1.0].
+    */
+    double capacity_fraction = 4;
 }
 
 message QueryProbabilityRequest {
diff --git a/lnrpc/routerrpc/router.swagger.json b/lnrpc/routerrpc/router.swagger.json
index a841ba73c..fc4de7678 100644
--- a/lnrpc/routerrpc/router.swagger.json
+++ b/lnrpc/routerrpc/router.swagger.json
@@ -1098,6 +1098,11 @@
           "type": "number",
           "format": "double",
           "description": "The importance that mission control should place on historical results,\nexpressed as a value in [0;1]. Setting this value to 1 will ignore all\nhistorical payments and just use the hop probability to assess the\nprobability of success for each hop. A zero value ignores hop probability\ncompletely and relies entirely on historical results, unless none are\navailable."
+        },
+        "capacity_fraction": {
+          "type": "number",
+          "format": "double",
+          "description": "The fraction of a channel's capacity that we consider to have liquidity. For\namounts that come close to or exceed the fraction, an additional penalty is\napplied. A value of 1.0 disables the capacity factor. Allowed values are in\n[0.75, 1.0]."
         }
       }
     },
diff --git a/lnrpc/routerrpc/router_server.go b/lnrpc/routerrpc/router_server.go
index a11a63d6c..563090198 100644
--- a/lnrpc/routerrpc/router_server.go
+++ b/lnrpc/routerrpc/router_server.go
@@ -470,9 +470,10 @@ func (s *Server) GetMissionControlConfig(ctx context.Context,
 	case routing.AprioriConfig:
 		resp.Config.Model = MissionControlConfig_APRIORI
 		aCfg := AprioriParameters{
-			HalfLifeSeconds: uint64(v.PenaltyHalfLife.Seconds()),
-			HopProbability:  v.AprioriHopProbability,
-			Weight:          v.AprioriWeight,
+			HalfLifeSeconds:  uint64(v.PenaltyHalfLife.Seconds()),
+			HopProbability:   v.AprioriHopProbability,
+			Weight:           v.AprioriWeight,
+			CapacityFraction: v.CapacityFraction,
 		}
 
 		// Populate deprecated fields.
@@ -535,6 +536,8 @@ func (s *Server) SetMissionControlConfig(ctx context.Context,
 				) * time.Second,
 				AprioriHopProbability: v.Apriori.HopProbability,
 				AprioriWeight:         v.Apriori.Weight,
+				CapacityFraction: v.Apriori.
+					CapacityFraction,
 			}
 
 		default:
@@ -546,6 +549,8 @@ func (s *Server) SetMissionControlConfig(ctx context.Context,
 					req.Config.HopProbability,
 				),
 				AprioriWeight: float64(req.Config.Weight),
+				CapacityFraction: float64(
+					routing.DefaultCapacityFraction),
 			}
 		}
 
diff --git a/lnrpc/routerrpc/routing_config.go b/lnrpc/routerrpc/routing_config.go
index a1bbad590..31494d546 100644
--- a/lnrpc/routerrpc/routing_config.go
+++ b/lnrpc/routerrpc/routing_config.go
@@ -63,6 +63,9 @@ type AprioriConfig struct {
 	// PenaltyHalfLife defines after how much time a penalized node or
 	// channel is back at 50% probability.
 	PenaltyHalfLife time.Duration `long:"penaltyhalflife" description:"Defines the duration after which a penalized node or channel is back at 50% probability"`
+
+	// CapacityFraction defines the fraction of channels' capacities that is considered liquid.
+	CapacityFraction float64 `long:"capacityfraction" description:"Defines the fraction of channels' capacities that is considered liquid. Valid values are in [0.75, 1]."`
 }
 
 // BimodalConfig defines parameters for the bimodal probability.
diff --git a/routing/pathfind.go b/routing/pathfind.go
index f204591b6..3c5397224 100644
--- a/routing/pathfind.go
+++ b/routing/pathfind.go
@@ -649,9 +649,9 @@ func findPath(g *graphParams, r *RestrictParams, cfg *PathFindingConfig,
 
 		log.Trace(newLogClosure(func() string {
 			return fmt.Sprintf("path finding probability: fromnode=%v,"+
-				" tonode=%v, amt=%v, probability=%v",
+				" tonode=%v, amt=%v, cap=%v, probability=%v",
 				fromVertex, toNodeDist.node, amountToSend,
-				edgeProbability)
+				edge.capacity, edgeProbability)
 		}))
 
 		// If the probability is zero, there is no point in trying.
diff --git a/routing/probability_apriori.go b/routing/probability_apriori.go
index dabd47ff9..d5d9246e3 100644
--- a/routing/probability_apriori.go
+++ b/routing/probability_apriori.go
@@ -12,40 +12,37 @@ import (
 )
 
 const (
-	// capacityCutoffFraction and capacitySmearingFraction define how
-	// capacity-related probability reweighting works.
-	// capacityCutoffFraction defines the fraction of the channel capacity
-	// at which the effect roughly sets in and capacitySmearingFraction
-	// defines over which range the factor changes from 1 to 0.
-	//
-	// We may fall below the minimum required probability
-	// (DefaultMinRouteProbability) when the amount comes close to the
-	// available capacity of a single channel of the route in case of no
-	// prior knowledge about the channels. We want such routes still to be
-	// available and therefore a probability reduction should not completely
-	// drop the total probability below DefaultMinRouteProbability.
-	// For this to hold for a three-hop route we require:
-	// (DefaultAprioriHopProbability)^3 * minCapacityFactor >
-	//      DefaultMinRouteProbability
-	//
-	// For DefaultAprioriHopProbability = 0.6 and
-	// DefaultMinRouteProbability = 0.01 this results in
-	// minCapacityFactor ~ 0.05. The following combination of parameters
-	// fulfill the requirement with capacityFactor(cap, cap) ~ 0.076 (see
-	// tests).
-
-	// The capacityCutoffFraction is a trade-off between usage of the
-	// provided capacity and expected probability reduction when we send the
-	// full amount. The success probability in the random balance model can
-	// be approximated with P(a) = 1 - a/c, for amount a and capacity c. If
-	// we require a probability P(a) > 0.25, this translates into a value of
-	// 0.75 for a/c.
-	capacityCutoffFraction = 0.75
-
-	// We don't want to have a sharp drop of the capacity factor to zero at
-	// capacityCutoffFraction, but a smooth smearing such that some residual
-	// probability is left when spending the whole amount, see above.
-	capacitySmearingFraction = 0.1
+	// CapacityFraction and capacitySmearingFraction define how
+	// capacity-related probability reweighting works. CapacityFraction
+	// defines the fraction of the channel capacity at which the effect
+	// roughly sets in and capacitySmearingFraction defines over which range
+	// the factor changes from 1 to minCapacityFactor.
+
+	// DefaultCapacityFraction is the default value for CapacityFraction.
+	// It is chosen such that the capacity factor is active but with a small
+	// effect. This value together with capacitySmearingFraction leads to a
+	// noticeable reduction in probability if the amount starts to come
+	// close to 90% of a channel's capacity.
+	DefaultCapacityFraction = 0.9999
+
+	// capacitySmearingFraction defines how quickly the capacity factor
+	// drops from 1 to minCapacityFactor. This value results in about a
+	// variation over 20% of the capacity.
+	capacitySmearingFraction = 0.025
+
+	// minCapacityFactor is the minimal value the capacityFactor can take.
+	// Having a too low value can lead to discarding of paths due to the
+	// enforced minimal proability or to too high pathfinding weights.
+	minCapacityFactor = 0.5
+
+	// minCapacityFraction is the minimum allowed value for
+	// CapacityFraction. The success probability in the random balance model
+	// (which may not be an accurate description of the liquidity
+	// distribution in the network) can be approximated with P(a) = 1 - a/c,
+	// for amount a and capacity c. If we require a probability P(a) = 0.25,
+	// this translates into a value of 0.75 for a/c. We limit this value in
+	// order to not discard too many channels.
+	minCapacityFraction = 0.75
 
 	// AprioriEstimatorName is used to identify the apriori probability
 	// estimator.
@@ -64,6 +61,11 @@ var (
 	// ErrInvalidAprioriWeight is returned when we get an apriori weight
 	// that is out of range.
 	ErrInvalidAprioriWeight = errors.New("apriori weight must be in [0, 1]")
+
+	// ErrInvalidCapacityFraction is returned when we get a capacity
+	// fraction that is out of range.
+	ErrInvalidCapacityFraction = fmt.Errorf("capacity fraction must be in "+
+		"[%v, 1]", minCapacityFraction)
 )
 
 // AprioriConfig contains configuration for our probability estimator.
@@ -84,6 +86,12 @@ type AprioriConfig struct {
 	// probability completely and only base the probability on historical
 	// results, unless there are none available.
 	AprioriWeight float64
+
+	// CapacityFraction is the fraction of a channel's capacity that we
+	// consider to have liquidity. For amounts that come close to or exceed
+	// the fraction, an additional penalty is applied. A value of 1.0
+	// disables the capacityFactor.
+	CapacityFraction float64
 }
 
 // validate checks the configuration of the estimator for allowed values.
@@ -100,6 +108,10 @@ func (p AprioriConfig) validate() error {
 		return ErrInvalidAprioriWeight
 	}
 
+	if p.CapacityFraction < minCapacityFraction || p.CapacityFraction > 1 {
+		return ErrInvalidCapacityFraction
+	}
+
 	return nil
 }
 
@@ -109,6 +121,7 @@ func DefaultAprioriConfig() AprioriConfig {
 		PenaltyHalfLife:       DefaultPenaltyHalfLife,
 		AprioriHopProbability: DefaultAprioriHopProbability,
 		AprioriWeight:         DefaultAprioriWeight,
+		CapacityFraction:      DefaultCapacityFraction,
 	}
 }
 
@@ -155,9 +168,10 @@ func (p *AprioriEstimator) Config() estimatorConfig {
 func (p *AprioriEstimator) String() string {
 	return fmt.Sprintf("estimator type: %v, penalty halflife time: %v, "+
 		"apriori hop probability: %v, apriori weight: %v, previous "+
-		"success probability: %v", AprioriEstimatorName,
-		p.PenaltyHalfLife, p.AprioriHopProbability, p.AprioriWeight,
-		p.prevSuccessProbability)
+		"success probability: %v, capacity fraction: %v",
+		AprioriEstimatorName, p.PenaltyHalfLife,
+		p.AprioriHopProbability, p.AprioriWeight,
+		p.prevSuccessProbability, p.CapacityFraction)
 }
 
 // getNodeProbability calculates the probability for connections from a node
@@ -169,7 +183,9 @@ func (p *AprioriEstimator) getNodeProbability(now time.Time,
 
 	// We reduce the apriori hop probability if the amount comes close to
 	// the capacity.
-	apriori := p.AprioriHopProbability * capacityFactor(amt, capacity)
+	apriori := p.AprioriHopProbability * capacityFactor(
+		amt, capacity, p.CapacityFraction,
+	)
 
 	// If the channel history is not to be taken into account, we can return
 	// early here with the configured a priori probability.
@@ -242,11 +258,22 @@ func (p *AprioriEstimator) getWeight(age time.Duration) float64 {
 }
 
 // capacityFactor is a multiplier that can be used to reduce the probability
-// depending on how much of the capacity is sent. The limits are 1 for amt == 0
-// and 0 for amt >> cutoffMsat. The function drops significantly when amt
-// reaches cutoffMsat. smearingMsat determines over which scale the reduction
-// takes place.
-func capacityFactor(amt lnwire.MilliSatoshi, capacity btcutil.Amount) float64 {
+// depending on how much of the capacity is sent. In other words, the factor
+// sorts out channels that don't provide enough liquidity. Effectively, this
+// leads to usage of larger channels in total to increase success probability,
+// but it may also increase fees. The limits are 1 for amt == 0 and
+// minCapacityFactor for amt >> capacityCutoffFraction. The function drops
+// significantly when amt reaches cutoffMsat. smearingMsat determines over which
+// scale the reduction takes place.
+func capacityFactor(amt lnwire.MilliSatoshi, capacity btcutil.Amount,
+	capacityCutoffFraction float64) float64 {
+
+	// The special value of 1.0 for capacityFactor disables any effect from
+	// this factor.
+	if capacityCutoffFraction == 1 {
+		return 1.0
+	}
+
 	// If we don't have information about the capacity, which can be the
 	// case for hop hints or local channels, we return unity to not alter
 	// anything.
@@ -268,7 +295,11 @@ func capacityFactor(amt lnwire.MilliSatoshi, capacity btcutil.Amount) float64 {
 	// at cutoffMsat, decaying over the smearingMsat scale.
 	denominator := 1 + math.Exp(-(amtMsat-cutoffMsat)/smearingMsat)
 
-	return 1 - 1/denominator
+	// The numerator decides what the minimal value of this function will
+	// be. The minimal value is set by minCapacityFactor.
+	numerator := 1 - minCapacityFactor
+
+	return 1 - numerator/denominator
 }
 
 // PairProbability estimates the probability of successfully traversing to
diff --git a/sample-lnd.conf b/sample-lnd.conf
index 1b64e0c1b..3dfc76da8 100644
--- a/sample-lnd.conf
+++ b/sample-lnd.conf
@@ -1142,6 +1142,11 @@ litecoin.node=ltcd
 ; probability (default: 1h0m0s)
 ; routerrpc.apriori.penaltyhalflife=2h
 
+; Defines the fraction of channels' capacities that is considered liquid in
+; pathfinding, a value between [0.75-1.0]. A value of 1.0 disables this
+; feature. (default: 0.75)
+; routerrpc.apriori.capacityfraction=0.9
+
 ; Describes the scale over which channels still have some liquidity left on
 ; both channel ends. A very low value (compared to typical channel capacities)
 ; means that we assume unbalanced channels, a very high value means randomly
diff --git a/server.go b/server.go
index 03084f562..915a4b51f 100644
--- a/server.go
+++ b/server.go
@@ -880,6 +880,7 @@ func newServer(cfg *Config, listenAddrs []net.Addr,
 				AprioriHopProbability: aCfg.HopProbability,
 				PenaltyHalfLife:       aCfg.PenaltyHalfLife,
 				AprioriWeight:         aCfg.Weight,
+				CapacityFraction:      aCfg.CapacityFraction,
 			}
 
 			estimator, err = routing.NewAprioriEstimator(


Test patch:
diff --git a/itest/lnd_routing_test.go b/itest/lnd_routing_test.go
index a2bb4f4e8..a62430a3b 100644
--- a/itest/lnd_routing_test.go
+++ b/itest/lnd_routing_test.go
@@ -14,6 +14,7 @@ import (
 	"github.com/lightningnetwork/lnd/lntest/node"
 	"github.com/lightningnetwork/lnd/lntest/wait"
 	"github.com/lightningnetwork/lnd/lnwire"
+	"github.com/lightningnetwork/lnd/routing"
 	"github.com/stretchr/testify/require"
 	"google.golang.org/protobuf/proto"
 )
@@ -1023,9 +1024,10 @@ func testMissionControlCfg(t *testing.T, hn *node.HarnessNode) {
 			MissionControlConfig_APRIORI,
 		EstimatorConfig: &routerrpc.MissionControlConfig_Apriori{
 			Apriori: &routerrpc.AprioriParameters{
-				HalfLifeSeconds: 8000,
-				HopProbability:  0.8,
-				Weight:          0.3,
+				HalfLifeSeconds:  8000,
+				HopProbability:   0.8,
+				Weight:           0.3,
+				CapacityFraction: 0.8,
 			},
 		},
 	}
@@ -1071,6 +1073,10 @@ func testMissionControlCfg(t *testing.T, hn *node.HarnessNode) {
 	respCfg = hn.RPC.GetMissionControlConfig().Config
 	require.NotNil(t, respCfg.GetApriori())
 
+	// The default capacity fraction is set.
+	require.Equal(t, routing.DefaultCapacityFraction,
+		respCfg.GetApriori().CapacityFraction)
+
 	// Setting the wrong config results in an error.
 	cfg = &routerrpc.MissionControlConfig{
 		Model: routerrpc.
diff --git a/routing/integrated_routing_context_test.go b/routing/integrated_routing_context_test.go
index 0ab0c1b01..d939dc16b 100644
--- a/routing/integrated_routing_context_test.go
+++ b/routing/integrated_routing_context_test.go
@@ -73,6 +73,7 @@ func newIntegratedRoutingContext(t *testing.T) *integratedRoutingContext {
 		PenaltyHalfLife:       30 * time.Minute,
 		AprioriHopProbability: 0.6,
 		AprioriWeight:         0.5,
+		CapacityFraction:      testCapacityFraction,
 	}
 	estimator, err := NewAprioriEstimator(aCfg)
 	require.NoError(t, err)
diff --git a/routing/missioncontrol_test.go b/routing/missioncontrol_test.go
index 91cc8eaa0..27391d53e 100644
--- a/routing/missioncontrol_test.go
+++ b/routing/missioncontrol_test.go
@@ -94,6 +94,7 @@ func (ctx *mcTestContext) restartMc() {
 		PenaltyHalfLife:       testPenaltyHalfLife,
 		AprioriHopProbability: testAprioriHopProbability,
 		AprioriWeight:         testAprioriWeight,
+		CapacityFraction:      testCapacityFraction,
 	}
 	estimator, err := NewAprioriEstimator(aCfg)
 	require.NoError(ctx.t, err)
diff --git a/routing/probability_apriori_test.go b/routing/probability_apriori_test.go
index a055d4ae2..de69f9bb3 100644
--- a/routing/probability_apriori_test.go
+++ b/routing/probability_apriori_test.go
@@ -27,11 +27,13 @@ const (
 	aprioriPrevSucProb = 0.95
 
 	// testCapacity is used to define a capacity for some channels.
-	testCapacity = btcutil.Amount(100_000)
-	testAmount   = lnwire.MilliSatoshi(50_000_000)
+	testCapacity         = btcutil.Amount(100_000)
+	testAmount           = lnwire.MilliSatoshi(90_000_000)
+	testCapacityFraction = 0.9999
 
-	// Defines the capacityFactor for testAmount and testCapacity.
-	capFactor = 0.9241
+	// capFactor is the capacityFactor for testAmount, testCapacity and
+	// testCapacityFraction.
+	capFactor = 0.9909715
 )
 
 type estimatorTestContext struct {
@@ -53,6 +55,7 @@ func newEstimatorTestContext(t *testing.T) *estimatorTestContext {
 				AprioriHopProbability: aprioriHopProb,
 				AprioriWeight:         aprioriWeight,
 				PenaltyHalfLife:       time.Hour,
+				CapacityFraction:      testCapacityFraction,
 			},
 			prevSuccessProbability: aprioriPrevSucProb,
 		},
@@ -227,49 +230,87 @@ func TestCapacityCutoff(t *testing.T) {
 	capacityMSat := capacitySat * 1000
 
 	tests := []struct {
-		name           string
-		amountMsat     int
-		expectedFactor float64
+		name             string
+		capacityFraction float64
+		amountMsat       int
+		expectedFactor   float64
 	}{
+		// Minimal CapacityFraction of 0.75.
 		{
-			name:           "zero amount",
-			expectedFactor: 1,
+			name:             "zero amount",
+			capacityFraction: 0.75,
+			expectedFactor:   1,
 		},
 		{
-			name:           "low amount",
-			amountMsat:     capacityMSat / 10,
-			expectedFactor: 0.998,
+			name:             "low amount",
+			capacityFraction: 0.75,
+			amountMsat:       capacityMSat / 10,
+			expectedFactor:   1,
 		},
 		{
-			name:           "half amount",
-			amountMsat:     capacityMSat / 2,
-			expectedFactor: 0.924,
+			name:             "half amount",
+			capacityFraction: 0.75,
+			amountMsat:       capacityMSat / 2,
+			expectedFactor:   1,
 		},
 		{
-			name: "cutoff amount",
+			name:             "cutoff amount",
+			capacityFraction: 0.75,
 			amountMsat: int(
-				capacityCutoffFraction * float64(capacityMSat),
+				0.75 * float64(capacityMSat),
 			),
-			expectedFactor: 0.5,
+			expectedFactor: 0.75,
 		},
 		{
-			name:           "high amount",
-			amountMsat:     capacityMSat * 80 / 100,
-			expectedFactor: 0.377,
+			name:             "high amount",
+			capacityFraction: 0.75,
+			amountMsat:       capacityMSat * 80 / 100,
+			expectedFactor:   0.560,
 		},
 		{
 			// Even when we spend the full capacity, we still want
 			// to have some residual probability to not throw away
 			// routes due to a min probability requirement of the
 			// whole path.
-			name:           "full amount",
-			amountMsat:     capacityMSat,
-			expectedFactor: 0.076,
+			name:             "full amount",
+			capacityFraction: 0.75,
+			amountMsat:       capacityMSat,
+			expectedFactor:   0.5,
 		},
 		{
-			name:           "more than capacity",
-			amountMsat:     capacityMSat + 1,
-			expectedFactor: 0.0,
+			name:             "more than capacity",
+			capacityFraction: 0.75,
+			amountMsat:       capacityMSat + 1,
+			expectedFactor:   0.0,
+		},
+		// Default CapacityFactor of 0.9999.
+		{
+			name:             "zero amount",
+			capacityFraction: 0.9999,
+			amountMsat:       0,
+			expectedFactor:   1.00,
+		},
+		{
+			name:             "90% of the channel capacity",
+			capacityFraction: 0.9999,
+			amountMsat:       capacityMSat * 90 / 100,
+			expectedFactor:   0.990,
+		},
+		{
+			// We won't saturate at 0.5 as in the other case but at
+			// a higher value of 0.75 due to the smearing, this
+			// translates to a penalty increase of a factor of 1.33.
+			name:             "full amount",
+			capacityFraction: 0.9999,
+			amountMsat:       capacityMSat,
+			expectedFactor:   0.75,
+		},
+		// Inactive capacity factor.
+		{
+			name:             "inactive capacity factor",
+			capacityFraction: 1.0,
+			amountMsat:       capacityMSat,
+			expectedFactor:   1.00,
 		},
 	}
 
@@ -282,6 +323,7 @@ func TestCapacityCutoff(t *testing.T) {
 			got := capacityFactor(
 				lnwire.MilliSatoshi(test.amountMsat),
 				btcutil.Amount(capacitySat),
+				test.capacityFraction,
 			)
 			require.InDelta(t, test.expectedFactor, got, 0.001)
 		})
diff --git a/routing/router_test.go b/routing/router_test.go
index 8701d8b28..767cf7347 100644
--- a/routing/router_test.go
+++ b/routing/router_test.go
@@ -123,6 +123,7 @@ func createTestCtxFromGraphInstanceAssumeValid(t *testing.T,
 		PenaltyHalfLife:       time.Hour,
 		AprioriHopProbability: 0.9,
 		AprioriWeight:         0.5,
+		CapacityFraction:      testCapacityFraction,
 	}
 	estimator, err := NewAprioriEstimator(aCfg)
 	require.NoError(t, err)