a Department of Mathematics, Ocean University of China, Qingdao, Shandong 266071, PR China b Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China
Abstract:
We consider the problem of scheduling family jobs with release dates on a bounded batching machine to minimize the makespan. A polynomial-time approximation scheme for the identical job size model and an approximation algorithm with a worst-case ratio of for the non-identical job size model will be derived.