Fleet Sizing for Transporters with Seasonal Demands

Debjit Roy and Joesph Sebastian

No WP2012-12-06, IIMA Working Papers from Indian Institute of Management Ahmedabad, Research and Publication Department

Abstract: We develop a quick and approximate way to address the fleet sizing problem for transporters with non-stationary demands and uncertain trip times. Non-stationary demands are modeled using Markov-modulated Poisson process (MMPP) and the variable fleet size is modeled using multi-server queuing construct (MMPP(2)=M=C queue). The customer service level is expressed by the probability that a customer on arrival waits for availability of trucks. The waiting time probabilities are estimated from the steady-state probabilities, which are obtained from the solution of the continuous-time Markov chain. We demonstrate the fleet-sizing approach for a transporter with two level of demand rates and exponentially distributed truck unavailable times.

Date: 2012-12-11
New Economics Papers: this item is included in nep-tre
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