ErlangC

`ErlangC`(transactions, aht, asa, interval[, ...])	Computes the number of positions required to handle transactions in an Erlang C queue system.
`ErlangC.waiting_probability`(positions[, ...])	Returns the probability that a transaction waits in queue.
`ErlangC.service_level`(positions[, ...])	Returns the expected service level for a number of positions.
`ErlangC.achieved_occupancy`(positions[, ...])	Returns the expected occupancy of positions.
`ErlangC.required_positions`(service_level[, ...])	Computes the required positions for a target service level.

class pyworkforce.queuing.ErlangC(transactions: float, aht: float, asa: float, interval: int, shrinkage=0.0, **kwargs)[source]

Computes the number of positions required to handle transactions in an Erlang C queue system. Implementation inspired by: https://lucidmanager.org/data-science/call-centre-workforce-planning-erlang-c-in-r/

Parameters:

transactions: float,: Total number of transactions arriving in the interval.
aht: float,: Average handling time of a transaction (minutes).
asa: float,: The required average speed of answer (minutes).
interval: int,: Interval length, in minutes.
shrinkage: float,: Fraction of time that an operator unit is not available.

achieved_occupancy(positions: int, scale_positions: bool = False)[source]

Returns the expected occupancy of positions.

Parameters:

positions: int,: The number of raw positions. Productive positions must be greater than traffic intensity.
scale_positions: bool, default=False: Set to True when positions includes shrinkage.

required_positions(service_level: float, max_occupancy: float = 1.0)[source]

Computes the required positions for a target service level.

Parameters:

service_level: float,: Target service level.
max_occupancy: float,: The maximum fraction of time that a transaction can occupy a position. Must be greater than 0 and less than or equal to 1.

Returns:

raw_positions: int,: Required positions before applying shrinkage.
positions: int,: Positions needed after applying shrinkage.
service_level: float,: Fraction of transactions expected to reach a position before the target ASA.
occupancy: float,: Expected occupancy of positions.
waiting_probability: float,: Probability that a transaction waits in queue.

service_level(positions: int, scale_positions: bool = False)[source]

Returns the expected service level for a number of positions.

Parameters:

positions: int,: The number of positions available to handle transactions. Productive positions must be greater than traffic intensity.
scale_positions: bool, default = False: Set to True when positions includes shrinkage.

waiting_probability(positions: int, scale_positions: bool = False)[source]

Returns the probability that a transaction waits in queue.

Parameters:

positions: int,: The number of positions available to handle transactions. Productive positions must be greater than traffic intensity.
scale_positions: bool, default=False: Set to True when positions includes shrinkage.