Revenue Score Modeling for Optimal Retention and Disposal Timing in Rental Vehicle Fleets
Abstract
Condition-based vehicle replacement scoring reduces fleet costs when computed independently of pricing, generating annual savings exceeding thirteen million dollars in a documented telecommunications fleet, yet this decoupling leaves the marginal wear cost of individual bookings absent from the pricing decision. This paper tests a coupled architecture in which a bounded composite lifecycle score, built from six mechanical and operational sub-indices, enters simultaneously into a price-ceiling constraint, a multiplicative residual-value correction, and a two-stage dynamic-programming and closed-form pricing solver. Monte Carlo simulation across synthetic fleets of 200 to 2000 vehicles, run for 2400 replications against two named baselines, a static replacement-score architecture and a fixed condition-gated architecture, isolates the contribution of price coupling from that of scoring alone. The coupled architecture reduces depreciation cost per revenue dollar by 16.8 to 17.0 percent against the score-only baseline and by 10.9 to 11.3 percent against the static-gated baseline, with 61 percent of the total reduction attributable to the pricing-ceiling mechanism rather than to scoring and eligibility gating. Residual value realization rises from 0.87 to 0.94 at disposition under identical projection functions, a difference traced to disposition timin. The alternating solver reaches a 2.4 percent optimality gap against an exact mixed-integer benchmark at fleet size 50, converging in three to six iterations. The coupling advantage collapses to a statistically indistinguishable margin when demand elasticity falls below unity, since the pricing ceiling binds structurally in that regime and cannot serve as a coupling instrument, confining the confirmed effect to elastic-demand conditions.
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