This volume contains the papers selected after a very careful refereeing process for presentation during the Workshop on Job Scheduling Stategies for Parallel Processing, held in Santa Barbara, California, as a prelude to the IPPS '95 conference in April 1995. The 19 full papers presented demonstrate that parallel job scheduling takes on a crucial role as multi-user parallel supercomputers become more widespread. All aspects of job scheduling for parallel systems are covered, from the perspectives of academic research, industrial design of parallel systems, as well as user needs. Of particular interest, also for nonexpert readers, is the introductory paper "Parallel Job Scheduling: Issues and Approaches" by the volume editors.