Sanjeev Khanna University of Pennsylvania 11.

The minimum weighted completion time problem involves (i) a set J of n jobs, a positive weight wj for each job j ∈ J , and a release date rj before which it cannot be scheduled; (ii) a set of m machines, each of which can process at most one job at any time, and (iii) an arbitrary set of positive values {pi,j}, where pi,j denotes the time to process job j on machine i. A schedule involves assig...

this paper proposes a hybrid method to find cumulative distribution function (cdf) of completion time of gert-type networks (gtn) which have no loop and have only exclusive-or nodes. proposed method is cre-ated by combining an analytical transformation with gaussian quadrature formula. also the combined crude monte carlo simulation and combined conditional monte carlo simulation are developed a...

Flexible manufacturing system (FMS) readily addresses the dynamic needs of the customers in terms of variety and quality. At present, there is a need to produce a wide range of quality products in limited time span. On-time delivery of customers’ orders is critical in make-to-order (MTO) manufacturing systems. The completion time of the orders depends on several factors including arrival rate, ...