The Impact of Capacity Flexibility in a Rental Operation on the Financial Performance

We present a new framework for rental capacity management in which rental capacity is dynamically managed by means of temporary inventory addition/return. While serving customers with its own (native) capacity, the rental firm rents additional rental capacity from an upper echelon rental company so that it can avoid lost sales which may occur when stock is not sufficient, and returns it when stock becomes sufficiently large enough to cope with demands. Formulating the model as a Markov decision process, we investigate a flexible capacity addition/return policy that maximizes the firm"s profit with respect to system costs. Numerical study indicates that rental operation with capacity addition/return can be economically favorable over rental operation without capacity expansion/return and can contribute the reduction in the size of native rental capacity.

[1]  Sarah M. Ryan,et al.  Capacity Expansion for Random Exponential Demand Growth with Lead Times , 2004, Manag. Sci..

[2]  Fangruo Chen,et al.  Evaluating Echelon Stock R, nQ Policies in Serial Production/Inventory Systems with Stochastic Demand , 1994 .

[3]  George M. Constantinides,et al.  Stochastic Cash Management with Fixed and Proportional Transaction Costs , 1976 .

[4]  Roelof Kuik,et al.  On optimal inventory control with independent stochastic item returns , 2003, Eur. J. Oper. Res..

[5]  Dimitri P. Bertsekas,et al.  Dynamic Programming: Deterministic and Stochastic Models , 1987 .

[6]  J. C. Bean,et al.  Optimal Capacity Expansion Over an Infinite Horizon , 1985 .

[7]  Ki Ling Cheung,et al.  Modeling returns of merchandise in an inventory system , 1998 .

[8]  Merton H. Miller,et al.  A Model of the Demand for Money by Firms , 1966 .

[9]  James E. Ward,et al.  A model for parallel machine replacement with capacity expansion , 2000, Eur. J. Oper. Res..

[10]  Evan L. Porteus,et al.  Simultaneous Capacity and Production Management of Short-Life-Cycle, Produce-to-Stock Goods Under Stochastic Demand , 2002, Manag. Sci..

[11]  Christopher S. Tang,et al.  On managing operating capacity to reduce congestion in service systems , 1996 .

[12]  I. M. Premachandra A diffusion approximation model for managing cash in firms: An alternative approach to the Miller-Orr model , 2004, Eur. J. Oper. Res..

[13]  M. R. Rao,et al.  Optimal Capacity Expansion with Inventory , 1976, Oper. Res..

[14]  Rommert Dekker,et al.  Controlling inventories with stochastic item returns: A basic model , 2002, Eur. J. Oper. Res..

[15]  Jayashankar M. Swaminathan,et al.  A Coordinated Production Planning Model with Capacity Expansion and Inventory Management , 2001, Manag. Sci..

[16]  Steven A. Lippman,et al.  Applying a New Device in the Optimization of Exponential Queuing Systems , 1975, Oper. Res..

[17]  Andreas C. Soteriou,et al.  Capacity acquisition and disposal with discrete facility sizes , 1994 .

[18]  G. C. Varvaloucas,et al.  Capacity Expansion/Contraction of a Facility with Demand Augmentation Dynamics , 1984, Oper. Res..