Healthcare Operation Improvement Based on Simulation of Cooperative Resource Preservation Nets for None-Consumable Resources

Table 1

Mathematical notations.

Notation	Description
	Set of places in the Petri net
	Set of transitions in the Petri net
	Transition with index in the Petri net
	Place with index in the Petri net
	Input place in Petri net
	Output place in Petri net
	Topology of the Petri net. The arcs between places and transitions
,	Two different indices for time
	Marking, distribution of tokens in places
	Marking of the input
	Marking of the output
	Marking at a time
	Marking at initial time
	Marking of place
	Set of transitions input to place
	Set of transitions output from place
	Set of places input to transition
	Set of places output from transition
	Set of transitions proceeding the input place . This set is always empty
	Set of transitions following the output place . This set is always empty
	Any token in a place
	Token index in a place
	Set of pools
	Set of nodes reachable from transition
	Set of nodes reachable from place
	Set of capabilities provided by resources and transitions
	Set of request for service
	Set of resources in the Petri net
	Mapping function that maps resources to pools of resources
	Any , where